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Finding the Fourth Proportional to 23,635.64, 35,455.44 and 6,105.80

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Solution

The fourth proportional to 23,635.64, 35,455.44 and 6,105.80 is: 9,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,635.64 : 35,455.44 = 6,105.80 : x
  2. Step 2: Convert to fraction form
    23,635.64/35,455.44 = 6,105.80/x
  3. Step 3: Cross multiply
    23,635.64x = 35,455.44 × 6,105.80
  4. Step 4: Simplify right side
    23,635.64x = 216,483,825.55
  5. Step 5: Solve for x
    x = 216,483,825.55/23,635.64
  6. Step 6: Final answer
    x = 9,159.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.